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Finding the Fourth Proportional to 224,642.88, 309,932.54 and 148,199.96

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Solution

The fourth proportional to 224,642.88, 309,932.54 and 148,199.96 is: 204,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,642.88 : 309,932.54 = 148,199.96 : x
  2. Step 2: Convert to fraction form
    224,642.88/309,932.54 = 148,199.96/x
  3. Step 3: Cross multiply
    224,642.88x = 309,932.54 × 148,199.96
  4. Step 4: Simplify right side
    224,642.88x = 45,931,990,030.70
  5. Step 5: Solve for x
    x = 45,931,990,030.70/224,642.88
  6. Step 6: Final answer
    x = 204,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.